Ideal grid for interpolation based on query points

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Tintin Milou
Tintin Milou 2023-5-20
回答： Image Analyst 2023-5-21
Hello,
My query points for a 2D interpolation are shown in this scatter plot.
Each of these points has a corresponding function value. It is quite costly to evaluate this function.
So my idea is to only evaluate the function for a small subsets of data points and then interpolate the remaining data points.
My question: Is there an efficient way to set up my grid?
Of course, I could use something like
x = linspace(min(xq(:)),max(xq(:)),10) ;
y = linspace(min(yq(:)),max(yq(:)),10) ;
[X,Y] = meshgrid(x,y) ;
And get something like this
But that does not seem to be the best grid given that some of these gridpoints are not anywhere close to the query points.
Tahnks!

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Image Analyst
Image Analyst 2023-5-21
@Tintin Milou I don't know why you keep forgetting, or refusing, to attach your data. And I don't know why you want to use a subset of your data. A few million points does not seem like an enormous amount of data. After all, a typical digital image from a camera could be 25 million points. Have you tried it and it just takes way too long?
For what it's worth, my demo of scatteredInterpolant is attached.

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